Geometry of Enumerative Mirror Symmetry
Event details
| Date | 11.05.2023 |
| Hour | 13:15 › 15:00 |
| Speaker | Michel Van Garrel (University of Birmingham) |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
For the pair (Y,D) of a smooth Fano variety and smooth anticanonical divisor, mirror symmetry computes in a complicated fashion the counts of rational curves in Y that meet D in one point only (rather, the corresponding log Gromov-Witten invariants). In this talk, I will show how these computations are in fact the consequence of a simple geometric duality between (Y,D) and its Gross-Siebert intrinsic mirror family. I will focus on the case of Y the projective plane and D an elliptic curve. Then the mirror family is the moduli space of elliptic curves with certain level structure. This is joint work with Helge Ruddat and Bernd Siebert and is part of a long term project to de-mystify mirror symmetry.
Practical information
- Informed public
- Free
Organizer
- Francesca Carocci
Contact
- Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)